36603952 has 120 divisors (see below), whose sum is σ = 92751008. Its totient is φ = 13685760.

The previous prime is 36603923. The next prime is 36603953. The reversal of 36603952 is 25930663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36603953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501388 + ... + 501460.

Almost surely, 2^36603952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36603952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375504).

36603952 is an abundant number, since it is smaller than the sum of its proper divisors (56147056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36603952 is a wasteful number, since it uses less digits than its factorization.

36603952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 36603952 is about 6050.1199988099. The cubic root of 36603952 is about 332.0289808736.

Subtracting from 36603952 its reverse (25930663), we obtain a square (10673289 = 3267²).

The spelling of 36603952 in words is "thirty-six million, six hundred three thousand, nine hundred fifty-two".